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Finding the Fourth Proportional to 2,667.78, 4,002.11 and 818.71

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Solution

The fourth proportional to 2,667.78, 4,002.11 and 818.71 is: 1,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.78 : 4,002.11 = 818.71 : x
  2. Step 2: Convert to fraction form
    2,667.78/4,002.11 = 818.71/x
  3. Step 3: Cross multiply
    2,667.78x = 4,002.11 × 818.71
  4. Step 4: Simplify right side
    2,667.78x = 3,276,567.48
  5. Step 5: Solve for x
    x = 3,276,567.48/2,667.78
  6. Step 6: Final answer
    x = 1,228.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.